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Finding the Fourth Proportional to 518,732.12, 778,090.44 and 316,387.64

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Solution

The fourth proportional to 518,732.12, 778,090.44 and 316,387.64 is: 474,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,732.12 : 778,090.44 = 316,387.64 : x
  2. Step 2: Convert to fraction form
    518,732.12/778,090.44 = 316,387.64/x
  3. Step 3: Cross multiply
    518,732.12x = 778,090.44 × 316,387.64
  4. Step 4: Simplify right side
    518,732.12x = 246,178,198,018.16
  5. Step 5: Solve for x
    x = 246,178,198,018.16/518,732.12
  6. Step 6: Final answer
    x = 474,576.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.